Solving by Combining Like Terms
5h + 2 + 2h = 23
h = 3
2x+3 = x+1
x = 2
Solve. 6p - 18 -2p ≤ -2
p ≤ 4
The sum of twice a number and 4 is the same as 20. Find the number.
8
When was the first day of the 20th century?
January 1, 1901
3b - 3b - 8 = 4
No solution
5(d - 2) = 3d
d = 5
Solve. 2(6x - 5) < 14
x < 2
Julia has $20 and earns $10.50 per hour babysitting on the weekends. How many hours will she need to babysit to earn $104?
8 hours
What do you call a scientist who studies rocks?
Geologist
3a + 12 - 6a = -9 - 2a
a = 21
7(4 - x) = 4(7 - x)
x = 0
Solve. 3 - 5(a + 4) ≥ -a + 7
a ≤ -6 or -6 ≥ a
A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10 to spend on the cab ride, how many FULL miles could she travel? **You must write your answer in context of the problem**
At most 12 miles
What ancient civilization built the Machu Picchu complex in Peru?
The Incas
(4 - p)/5 = 7
p = -31
5 - 2(x - 9) = 4x - 1
x = 4
24 + 6k < -6(-4 - k)
No solution
Tom is deciding whether or not he should become a member gym to use their basketball courts. The membership cost is $135. Members pay $2 to rent out the basketball courts. Non-members can rent the court also, but they have to pay $11 each time. how many times would Tom need to rent the court in order for it be cheaper to be a member than a non member? *Write your answer in context of the problem*
At least 15 times
Who invented the telephone?
Alexander Graham Bell
-x + 1.5 = 3x - x
x = 0.5
7 - (4 + 2a) = 3(a - 2) - 1
a = 2
GRAPH your answer:
4/5(15x + 45) ≥ -6x
x ≥ -2
(closed, shaded to the right)
Allison practices her violin for at least 12 hours per week. She practices for three fourths of an hour each session. If Allison has already practiced 3 hours this week, how many more sessions remain for her to meet or exceed her weekly practice goal? *Write your answer in context of the problem*
At least 12 more sessions
Which mythical creature is half an eagle and half a lion?
Griffin